Results 221 to 230 of about 190,858 (265)
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ACM Computing Surveys, 1995
For many applications, a randomized algorithm is either the simplest or the fastest algorithm available, and sometimes both. This book introduces the basic concepts in the design and analysis of randomized algorithms. The first part of the text presents basic tools such as probability theory and probabilistic analysis that are frequently used in ...
Rajeev Motwani 0001, Prabhakar Raghavan
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For many applications, a randomized algorithm is either the simplest or the fastest algorithm available, and sometimes both. This book introduces the basic concepts in the design and analysis of randomized algorithms. The first part of the text presents basic tools such as probability theory and probabilistic analysis that are frequently used in ...
Rajeev Motwani 0001, Prabhakar Raghavan
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On the Randomized Kaczmarz Algorithm [PDF]
IEEE Signal Processing Letters, 2014 The Randomized Kaczmarz Algorithm is a randomized method which aims at solving a consistent system of over determined linear equations. This note discusses how to find an optimized randomization scheme for this algorithm, which is related to the question raised by \cite{c2}. Illustrative experiments are conducted to support the findings.
Mojtaba Soltanalian
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Computability, 2023
Rademacher (Mathematische Annalen 87 (1922) 112–138), Steinhaus (Mathematische Zeitschrift 31 (1930) 408–416) and Paley and Zygmund (Mathematical Proceedings of the Cambridge Philosophical Society 26 (1930) 337–257, Mathematical Proceedings of the Cambridge Philosophical Society 26 (1930) 458–474, Mathematical Proceedings of the Cambridge Philosophical
Rodney G. Downey +2 more
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Rademacher (Mathematische Annalen 87 (1922) 112–138), Steinhaus (Mathematische Zeitschrift 31 (1930) 408–416) and Paley and Zygmund (Mathematical Proceedings of the Cambridge Philosophical Society 26 (1930) 337–257, Mathematical Proceedings of the Cambridge Philosophical Society 26 (1930) 458–474, Mathematical Proceedings of the Cambridge Philosophical
Rodney G. Downey +2 more
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Theory of Probability & Its Applications, 1988
This paper is one of the last works of A. N. Kolmogorov who was the founder of many branches of probability theory. (Kolmogorov died on October 20, 1987.) He was one of the initiators of the algorithmic definition of randomness. His brilliant ideas influenced very deeply this area which had also profound implications for other fields of science from ...
Kolmogorov, A. N., Uspenskij, V. A.
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This paper is one of the last works of A. N. Kolmogorov who was the founder of many branches of probability theory. (Kolmogorov died on October 20, 1987.) He was one of the initiators of the algorithmic definition of randomness. His brilliant ideas influenced very deeply this area which had also profound implications for other fields of science from ...
Kolmogorov, A. N., Uspenskij, V. A.
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Communications of the ACM, 2019
Tracing some of the latest advancements in algorithmic randomness.
Rod Downey, Denis R. Hirschfeldt
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Tracing some of the latest advancements in algorithmic randomness.
Rod Downey, Denis R. Hirschfeldt
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On randomized Lanczos algorithms
Proceedings of the 1997 international symposium on Symbolic and algebraic computation - ISSAC '97, 1997Las Vegas algorithms that are based on Lanczos’s method for solving symmetric linear systems are presented and analyzed. These are compared to a similar randomized Lanczos algorithm that has been used for integer factorization, and to the (provably reliable) algorithm of Wiedemann.
Wayne Eberly, Erich L. Kaltofen
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IEEE Transactions on Information Theory, 2006
Motivated by applications to sensor, peer-to-peer, and ad hoc networks, we study distributed algorithms, also known as gossip algorithms, for exchanging information and for computing in an arbitrarily connected network of nodes. The topology of such networks changes continuously as new nodes join and old nodes leave the network.
Stephen P. Boyd +3 more
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Motivated by applications to sensor, peer-to-peer, and ad hoc networks, we study distributed algorithms, also known as gossip algorithms, for exchanging information and for computing in an arbitrarily connected network of nodes. The topology of such networks changes continuously as new nodes join and old nodes leave the network.
Stephen P. Boyd +3 more
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A randomized algorithm for k-colorability
Discrete Mathematics, 1994 The author tests a straightforward generalization of \textit{A. D. Petford} and \textit{D. J. A. Welsh} [A randomized 3-colouring algorithm, Discrete Math. 74, No. 1/2, 253-261 (1989; Zbl 0667.05025)] on randomly generated samples of 4- and 10-colourable graphs, and he conjectures that the curious critical regions found in the case of 3-colourings are ...
Janez Žerovnik
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A RANDOMIZED ALGORITHM FOR SLOPE SELECTION
International Journal of Computational Geometry & Applications, 1992A set of n distinct points in the plane defines [Formula: see text] lines by joining each pair of distinct points. The median slope of these O(n2) lines was proposed by Theil as a robust estimator for the slope of the line of best fit for the points. We present a randomized algorithm for selecting the k-th smallest slope of such a set of lines which ...
Michael B. Dillencourt +2 more
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Randomized algorithms and pseudorandom numbers
Proceedings of the twentieth annual ACM symposium on Theory of computing - STOC '88, 1988Summary: Randomized algorithms are analyzed as if unlimited amounts of perfect randomness were available, while pseudorandom number generation is usually studied from the perspective of cryptographic security or for the statistical properties of the numbers generated. \textit{E. Bach} [J. Comput. Syst. Sci. 42, No.
Howard J. Karloff, Prabhakar Raghavan
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